Nuprl Lemma : pRun_wf2
∀[M:Type ─→ Type]
∀[nat2msg:ℕ ─→ pMsg(P.M[P])]. ∀[loc2msg:Id ─→ pMsg(P.M[P])]. ∀[S0:System(P.M[P])]. ∀[env:pEnvType(P.M[P])].
(pRun(S0;env;nat2msg;loc2msg) ∈ pRunType(P.M[P]))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
pRun: pRun(S0;env;nat2msg;loc2msg),
pEnvType: pEnvType(T.M[T]),
pRunType: pRunType(T.M[T]),
System: System(P.M[P]),
pMsg: pMsg(P.M[P]),
Id: Id,
strong-type-continuous: Continuous+(T.F[T]),
nat: ℕ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
pRun_wf,
fulpRunType-subtype,
pEnvType_wf,
System_wf,
Id_wf,
pMsg_wf,
nat_wf,
strong-type-continuous_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[nat2msg:\mBbbN{} {}\mrightarrow{} pMsg(P.M[P])]. \mforall{}[loc2msg:Id {}\mrightarrow{} pMsg(P.M[P])]. \mforall{}[S0:System(P.M[P])].
\mforall{}[env:pEnvType(P.M[P])].
(pRun(S0;env;nat2msg;loc2msg) \mmember{} pRunType(P.M[P]))
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_09_46
Last ObjectModification:
2015_01_29-AM-00_08_16
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